What is the Least Common Multiple of 24270 and 24285?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 24270 and 24285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24270 and 24285, than apply into the LCM equation.

GCF(24270,24285) = 15
LCM(24270,24285) = ( 24270 × 24285) / 15
LCM(24270,24285) = 589396950 / 15
LCM(24270,24285) = 39293130

Least Common Multiple (LCM) of 24270 and 24285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24270 and 24285. First we will calculate the prime factors of 24270 and 24285.

Prime Factorization of 24270

Prime Factorization of 24285

Now multiplying the highest exponent prime factors to calculate the LCM of 24270 and 24285.

LCM(24270,24285) = 2¹ × 3¹ × 5¹ × 809¹ × 1619¹
LCM(24270,24285) = 39293130